Theorems · Theorem · functional analysis
LinearIsometryEquiv.hasFDerivWithinAt
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {x : E}
{s : Set E} (iso : E ≃ₗᵢ[𝕜] F), HasFDerivWithinAt (⇑iso) (↑↑iso) s x- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- LinearIsometryEquivstatement and proof · cited by 748
- ContinuousLinearEquiv.toContinuousLinearMapstatement · cited by 448
- HasFDerivWithinAtstatement · cited by 356
- LinearIsometryEquiv.toContinuousLinearEquivstatement and proof · cited by 125
- ContinuousLinearEquiv.hasFDerivWithinAtproof · cited by 5
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